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A152915
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Exponacci (or exponential Fibonacci) numbers.
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0
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0, 1, 2, 9, 64, 3125, 1679616, 96889010407, 9223372036854775808, 278128389443693511257285776231761, 10000000000000000000000000000000000000000000000000000000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| a(0) = 0
a(1) = 1
a(n) = n ^ Fibonacci(n), n > 1
n is a natural number and Fibonacci(n) is the Fibonacci number.
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LINKS
| Wikipedia, Fibonacci number
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FORMULA
| a(n) = 0 if n = 0
a(n) = 1 if n = 1
a(n) = n ^ Fibonacci(n) if n > 1
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EXAMPLE
| a(9) = 9 ^ Fibonacci(9) = 9 ^ 34
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MATHEMATICA
| Array[ #^Fibonacci[ # ]&, 12] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 03 2010]
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PROG
| (Other) unsigned long Exponacci(unsigned int n)
{
if (n == 0)
return 0;
if (n == 1)
return 1;
return pow(n, Fibonacci(n));
}
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CROSSREFS
| Cf. A000045
Sequence in context: A112319 A038038 A048801 * A168383 A071300 A062395
Adjacent sequences: A152912 A152913 A152914 * A152916 A152917 A152918
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KEYWORD
| nonn
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AUTHOR
| ShaoJun Ying (dolphinysj(AT)gmail.com), Dec 15 2008
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EXTENSIONS
| More terms from Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 03 2010
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